On solvable Leibniz algebras whose nilradical is a direct sum of null-filiform algebras
On solvable Leibniz algebras whose nilradical is a direct sum of null-filiform algebras
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关于零根是零丝状代数直和的可解莱布尼兹代数
DOI：
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
B. Omirov
中科院分区：
文献类型：
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作者：
A. Khudoyberdiyev;M. Ladra;B. Omirov
本文继续研究具有零根的复有限维可解Leibniz代数，这里是零根的最大零指数的理想。给出了这类结构常数受限的可解代数的乘法表。在零根的补空间是一维的情况下，我们给出了一个对结构常数没有任何限制的乘法表。还给出了补向量空间到幂零根的维数等于S的可解Leibniz代数的分类。在此基础上，给出了可解Leibniz代数的刻画，条件是每个Leibniz代数都是理想的。
In this paper, we continue the investigation of complex finite-dimensional solvable Leibniz algebras with nilradical , where are ideals of maximal nilindex of the nilradical. The multiplication tables of such solvable algebras with restrictions to structural constants are obtained. In the case when the complemented space to the nilradical is one-dimensional, we present a multiplication table without any restrictions to structural constants. The classification of solvable Leibniz algebras, whose dimension of the complemented vector space to the nilradical is equal to s, is also given. Moreover, the description of solvable Leibniz algebras with the condition of each is ideal of the algebra is presented.